## What are the laws of vibrating strings?

Law of length: The fundamental frequency of vibrations of a string is inversely proportional to the length of the vibrating string if tension and mass per unit length are constant.

## What is the law of tension?

Law of tension: The fundamental frequency of vibrations of a string is directly proportional to the square root of tension if the vibrating length and mass per unit length are constant.

**Is frequency proportional to length of string?**

The fundamental frequency of a stretched string is inversely proportional to the length of the string, keeping the tension and the mass per unit length of the string constant: 3.

**Is frequency proportional to tension?**

The frequency of a string is directly proportional to the square root of its tension, F. This means that with a higher tension, the frequency will also be higher, so if we double the tension, then the frequency is quadrupled.

### What is Second law of vibrating string?

Answer: The sound produced by a string has almost same frequency. Second law states that, If the length and linear density are constant, the frequency is directly proportional to the square root of the tension.

### What is Sonometer and state laws of vibrating string?

Explanation: Sonometer is used to study the laws of vibrating strings. It is a device based on the principle of Resonance. It is used to verify the laws of vibration of the stretched string and also used to determine the frequency of a tuning fork.

**What is tension example?**

Tension is a force that is built as a result of pulling a rope or a wire from both sides. The best example of a tension force can be seen while pulling a rope. When a pull force is applied to the rope, a significant amount of tension gets built. Whereas, while pushing the rope, the tension gets lost, and it goes slack.

**What forced vibration?**

Forced vibration is a type of vibration in which a force is repeatedly applied to a mechanical system. Forced vibration is when an alternating force or motion is applied to a mechanical system, for example when a washing machine shakes due to an imbalance.

#### Does frequency affect wave speed?

The data convincingly show that wave frequency does not affect wave speed. An increase in wave frequency caused a decrease in wavelength while the wave speed remained constant.

#### Does increasing tension increase wavelength?

Increasing the tension increases the speed and the frequency. The wavelength is unchanged, being determined by the length of the string.

**Why does frequency increase with tension?**

Increased tension increases the velocity of the wave on the string. Assuming the string length cannot change the wavelength remains constant. Since velocity increased and wavelength is constant, the frequency must increase.

**How does node and Antinode occur?**

A node is a point along a standing wave where the wave has minimum amplitude. The opposite of a node is an anti-node, a point where the amplitude of the standing wave is at maximum. These occur midway between the nodes.

## What are Mersenne’s laws in physics?

Mersenne’s laws. Mersenne’s laws. From equation (22) can be derived three “laws” detailing how the fundamental frequency of a stretched string depends on the length, tension, and mass per unit length of the string. Known as Mersenne’s laws, these can be written as follows:

## What is Mersenne’s law in music?

Mersenne’s laws govern the construction and operation of string instruments, such as pianos and harps, which must accommodate the total tension force required to keep the strings at the proper pitch. Lower strings are thicker, thus having a greater mass per unit length. They typically have lower tension.

**What is the Mersenne equation?**

The equation was first proposed by French mathematician and music theorist Marin Mersenne in his 1636 work Harmonie universelle. Mersenne’s laws govern the construction and operation of string instruments, such as pianos and harps, which must accommodate the total tension force required to keep the strings at the proper pitch.

**What is L in Mersenne’s law of pitch?**

where f is the frequency, L is the length, F is the force and μ is the mass per unit length. Similar laws were not developed for pipes and wind instruments at the same time since Mersenne’s laws predate the conception of wind instrument pitch being dependent on longitudinal waves rather than “percussion”.